What are the solutions to the equation 5/32 y^2-11/8 y+1=0 ?

The solutions to the equation 5/32 y^2-11/8 y+1=0 are y=8,y= 4/5

Find the zeros of 5/32 y^2-11/8 y+1=0

The zeros of 5/32 y^2-11/8 y+1=0 are y=8,y= 4/5

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\frac{5}{32} y^{2} - \frac{11}{8} y + 1 = 0

y = 8, y = \frac{4}{5}

Decimal Notation

y = 8, y = 0.8

Solution steps

\frac{5}{32} y^{2} - \frac{11}{8} y + 1 = 0

Find Least Common Multiplier of

32, 8 : 32

Multiply by LCM=

32

\frac{5}{32} y^{2} \cdot 32 - \frac{11}{8} y \cdot 32 + 1 \cdot 32 = 0 \cdot 32

Simplify

5 y^{2} - 44 y + 32 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 44 ) \pm ( - 44 ) ^{2} - 4 \cdot 5 \cdot 32}{2 \cdot 5}

(- 44)^{2} - 4 \cdot 5 \cdot 32 = 36

y_{1, 2} = \frac{- ( - 44 ) \pm 36}{2 \cdot 5}

Separate the solutions

y_{1} = \frac{- ( - 44 ) + 36}{2 \cdot 5}, y_{2} = \frac{- ( - 44 ) - 36}{2 \cdot 5}

y = \frac{- ( - 44 ) + 36}{2 \cdot 5} : 8

y = \frac{- ( - 44 ) - 36}{2 \cdot 5} : \frac{4}{5}

The solutions to the quadratic equation are:

y = 8, y = \frac{4}{5}

- 3 x^{2} + 8 x - 2 = - 6

y^{2} + 4 y - 7 = 0

(4 x + 1) (8 x - 1) = 16 x + 3

27 x^{2} = 12

5 y^{2} + 4 y - 2 = 0

What are the solutions to the equation 5/32 y^2-11/8 y+1=0 ?
The solutions to the equation 5/32 y^2-11/8 y+1=0 are y=8,y= 4/5
Find the zeros of 5/32 y^2-11/8 y+1=0
The zeros of 5/32 y^2-11/8 y+1=0 are y=8,y= 4/5